Brady, John F. and Morris, Jeffrey F. (1997) Microstructure of strongly sheared suspensions and its impact on rheology and diffusion. Journal of Fluid Mechanics, 348 . pp. 103-139. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:BRAjfm97
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The effects of Brownian motion alone and in combination with an interparticle force of hard-sphere type upon the particle configuration in a strongly sheared suspension are analysed. In the limit Pe[rightward arrow][infty infinity] under the influence of hydrodynamic interactions alone, the pair-distribution function of a dilute suspension of spheres has symmetry properties that yield a Newtonian constitutive behaviour and a zero self-diffusivity. Here, Pe=[gamma][ogonek]a2/2D is the Péclet number with [gamma][ogonek] the shear rate, a the particle radius, and D the diffusivity of an isolated particle. Brownian diffusion at large Pe gives rise to an O(aPe[minus sign]1) thin boundary layer at contact in which the effects of Brownian diffusion and advection balance, and the pair-distribution function is asymmetric within the boundary layer with a contact value of O(Pe0.78) in pure-straining motion; non-Newtonian effects, which scale as the product of the contact value and the O(a3Pe[minus sign]1) layer volume, vanish as Pe[minus sign]0.22 as Pe[rightward arrow][infty infinity].
|Additional Information:||"Reprinted with the permission of Cambridge University Press." (Received August 7 1996) (Revised February 19 1997) This work was supported in part by grant No. CTS-9420415 from the National Science Foundation and by grant No. N00014-95-1-0423 from the Office of Naval Research. The authors wish to thank Francis Gadala-Maria for providing figure 2. J.F.B. wishes to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge University, for their hospitality during the writing of this paper.|
|Subject Keywords:||CONCENTRATED COLLOIDAL DISPERSIONS; DILUTE POLYDISPERSE SYSTEM; BROWNIAN SUSPENSIONS; NUMERICAL-SIMULATION; SPHERICAL-PARTICLES; INTERACTING SPHERES; STOKESIAN DYNAMICS; SELF-DIFFUSION; SOLID SPHERES; BULK STRESS|
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|Deposited On:||01 Feb 2006|
|Last Modified:||26 Dec 2012 08:45|
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